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Finding the Fourth Proportional to 3,023.10, 4,223.70 and 3,023.10

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Solution

The fourth proportional to 3,023.10, 4,223.70 and 3,023.10 is: 4,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.10 : 4,223.70 = 3,023.10 : x
  2. Step 2: Convert to fraction form
    3,023.10/4,223.70 = 3,023.10/x
  3. Step 3: Cross multiply
    3,023.10x = 4,223.70 × 3,023.10
  4. Step 4: Simplify right side
    3,023.10x = 12,768,667.47
  5. Step 5: Solve for x
    x = 12,768,667.47/3,023.10
  6. Step 6: Final answer
    x = 4,223.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.